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20524860225 = 325295512
BaseRepresentation
bin10011000111011000…
…001000001101000001
31221222102010221010100
4103013120020031001
5314013331011400
613232354553013
71324424301432
oct230730101501
957872127110
1020524860225
118782826301
123b89898769
131c2135540c
14dc9cad489
15801d95100
hex4c7608341

20524860225 has 27 divisors (see below), whose sum is σ = 36766154659. Its totient is φ = 10945446000.

The previous prime is 20524860217. The next prime is 20524860253. The reversal of 20524860225 is 52206842502.

The square root of 20524860225 is 143265.

It is a perfect power (a square), and thus also a powerful number.

20524860225 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 48 + 602 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7388949681 + 13135910544 = 85959^2 + 114612^2 .

It is not a de Polignac number, because 20524860225 - 23 = 20524860217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20524860225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2144200 + ... + 2153750.

Almost surely, 220524860225 is an apocalyptic number.

20524860225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20524860225 is the 143265-th square number.

20524860225 is the 71633-rd centered octagonal number.

It is an amenable number.

20524860225 is a deficient number, since it is larger than the sum of its proper divisors (16241294434).

20524860225 is an frugal number, since it uses more digits than its factorization.

20524860225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19118 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 20524860225 by its sum of digits (36), we get a square (738894968100 = 8595902).

The spelling of 20524860225 in words is "twenty billion, five hundred twenty-four million, eight hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9551 28653 47755 85959 143265 238775 429795 716325 2148975 91221601 273664803 456108005 820994409 1368324015 2280540025 4104972045 6841620075 20524860225